Least Common Multiple of 892/75, 276/21, 682/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/75, 276/21, 682/329 quickly i.e. 20987868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/75, 276/21, 682/329 is 20987868.

LCM(892/75, 276/21, 682/329) = 20987868

LCM of 892/75, 276/21, 682/329

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 892/75,276/21,682/329

Given numbers are 892/75,276/21,682/329

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 892,276,682

Least Common Multiple of Numerators i.e. LCM of 892,276,682 is 20987868.

GCF of Denominators means GCF of 75,21,329 as per the given fractions.

GCF of 75,21,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,276,682

LCM of Fractions 892/75,276/21,682/329 is 20987868

2 892, 276, 682
2 446, 138, 341
223, 69, 341

∴ So the LCM of the given numbers is 2 x 2 x 223 x 69 x 341 = 20987868

Least Common Multiple of 892,276,682 with GCF Formula

Least Common Multiple of 892,276,682 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 892,276,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,276,682) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(892,276,682) x common factors =2 x 4 = 8

LCM(892,276,682) = ( 892 × 276 × 682 ) / 8

LCM(892,276,682) = 167902944 / 8

LCM(892,276,682) = 20987868


Lets's calculate GCF of 75,21,329

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20987868/1

Therefore the LCM of Fractions 892/75,276/21,682/329 is 20987868

Greatest Common Factor of 75,21,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,21,329 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 75,21,329 . The biggest common factor number is the GCF number.
So the greatest common factor 75,21,329 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 892/75, 276/21, 682/329

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 892/75, 276/21, 682/329?

Answer: LCM of Numerators as per given numbers 892/75, 276/21, 682/329 is

LCM of Numerators i.e. for 892,276,682 is 20987868

GCF of denominators i.e. for 75,21,329 is 1.

Thus, LCM of Fractions is 20987868.Finally, LCM of Fractions for 892/75, 276/21, 682/329 is 20987868.